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Finding the Fourth Proportional to 565,063.40, 849,563.40 and 478,458.20

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Solution

The fourth proportional to 565,063.40, 849,563.40 and 478,458.20 is: 719,353.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,063.40 : 849,563.40 = 478,458.20 : x
  2. Step 2: Convert to fraction form
    565,063.40/849,563.40 = 478,458.20/x
  3. Step 3: Cross multiply
    565,063.40x = 849,563.40 × 478,458.20
  4. Step 4: Simplify right side
    565,063.40x = 406,480,575,149.88
  5. Step 5: Solve for x
    x = 406,480,575,149.88/565,063.40
  6. Step 6: Final answer
    x = 719,353.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.